Solution - Radical equations

Radical Equation entered :

     √2x-22-10 = 0

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √2x-22-10 = 0

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√2x-22-10)² = ()²

     After squaring
     2x-22-10 = 

Step  3  :

Solve the linear equation :

     Rearranged equation
      2x  -32 = 0

     Add  32  to both sides
      2x  = 32

     Divide both sides by 2
     A possible solution is :
     x = 16

Step  4  :

Check that the solution is correct :

     Original equation
     √2x-22-10 = 

     Plug in 16 for  x 
      √2•(16)-22-10 = 

      Simplify
      √0 = 0
      Solution checks !!
     Solution is:
      x = 16

One solution was found :